RECORD
A novel method for calculating Bose-Einstein correlation functions with Coulomb final-state interaction
Nuclear Theory · Submitted 21 Aug 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In this particular case, we find that the new method is more robust and allows the investigation of a wider parameter range than the previously utilized techniques.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
Measurements of Bose-Einstein correlations played a crucial role in the discovery and the subsequent detailed exploration of the Quark-Gluon-Plasma (QGP) created in high-energy collisions of heavy nuclei. Such measurements gave rise to femtoscopy, a flourishing sub-field of high-energy physics, and there are important new directions to explore and discoveries to be made in the near future. One of these important current topics is the precise investigation of the shape of the correlation functions utilizing L\'evy-stable sources. In this paper, we present a novel method of calculating the shape of the two-particle correlation functions, including the Coulomb final-state interaction. This method relies on an exact calculation of a large part of the necessary integrals of the Coulomb wave function and can be utilized to calculate the correlation function for any source function with an easily accessible Fourier transform. In this way, it is eminently applicable to L\'evy-stable source functions. In this particular case, we find that the new method is more robust and allows the investigation of a wider parameter range than the previously utilized techniques. We present an easily applicable software package that is ready to use in experimental studies.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Measurements of Bose-Einstein correlations played a crucial role in the discovery and the subsequent detailed exploration of the Quark-Gluon-Plasma (QGP) created in high-energy collisions of heavy nuclei. | background 1.00 | 0.05 | 0.02 | asserted 1.00 |
| s1 | Such measurements gave rise to femtoscopy, a flourishing sub-field of high-energy physics, and there are important new directions to explore and discoveries to be made in the near future. | background 0.81 | 0.05 | 0.02 | asserted 0.93 |
| s2 | One of these important current topics is the precise investigation of the shape of the correlation functions utilizing L\'evy-stable sources. | background 0.96 | 0.06 | 0.04 | asserted 0.98 |
| s3 | In this paper, we present a novel method of calculating the shape of the two-particle correlation functions, including the Coulomb final-state interaction. | contribution 0.99 | 0.95 | 0.35 | asserted 1.00 |
| s4 | This method relies on an exact calculation of a large part of the necessary integrals of the Coulomb wave function and can be utilized to calculate the correlation function for any source function with an easily accessible Fourier transform. | method 0.98 | 0.89 | 0.18 | asserted 0.90 |
| s5 | In this way, it is eminently applicable to L\'evy-stable source functions. | method 0.40 | 0.46 | 0.09 | asserted 0.99 |
| s6 | In this particular case, we find that the new method is more robust and allows the investigation of a wider parameter range than the previously utilized techniques. | result 0.86 | 0.95 | 0.26 | asserted 1.00 |
| s7 | We present an easily applicable software package that is ready to use in experimental studies. | contribution 0.99 | 0.94 | 0.13 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
Measurements of Bose-Einstein correlations played a crucial role in the discovery and the subsequent detailed exploration of the Quark-Gluon-Plasma (QGP) created in high-energy collisions of heavy nuclei. Such measurements gave rise to femtoscopy, a flourishing sub-field of high-energy physics, and there are important new directions to explore and discoveries to be made in the near future. One of these important current topics is the precise investigation of the shape of the correlation functions utilizing L\'evy-stable sources. In this paper, we present a novel method of calculating the shape of the two-particle correlation functions, including the Coulomb final-state interaction. This method relies on an exact calculation of a large part of the necessary integrals of the Coulomb wave function and can be utilized to calculate the correlation function for any source function with an easily accessible Fourier transform. In this way, it is eminently applicable to L\'evy-stable source functions. In this particular case, we find that the new method is more robust and allows the investigation of a wider parameter range than the previously utilized techniques. We present an easily applicable software package that is ready to use in experimental studies.
Human review
References
How the literature uses it
7 arXiv papers cite this in 19 sentences
Papers citing it · 10 sentences without a confident label
Builds on it 1 paper
-
The result can be written up as [equation] a direct generalization of the similar result in the spherically symmetric case, see Eq. (48) in Ref. [ref] .
A self-consistent calculation of non-spherical Bose-Einstein correlation functions with Coulomb final-state interaction · Coulomb integral in Fourier space · 0.96
Uses its method or tool 3 papers
-
We will be thus left with two terms as [equation] where $Ḑ_1λ(q)$ and $Ḑ_2λ(q)$ are defined as [equation] So our task is to calculate the correlation function as [equation] First the calculation of $Ḑ_1λ(q)$ and $Ḑ_2λ(q)$ for finite $λ>0$ are performed, just as in [ref] , by utilizing a slightly updated and modified method by Nordsieck [ref] ; for details, see [ref].
A self-consistent calculation of non-spherical Bose-Einstein correlation functions with Coulomb final-state interaction · Coulomb integral in Fourier space · 0.96
-
We are utilizing a novel method in our analysis for estimating the effect of Coulomb repulsion, presented in Ref. [ref] .
Femtoscopy using L\'evy-distributed sources at NA61/SHINE · Introduction · 1.00
-
Using the correlation function calculation method described in Ref. [ref] and the software package given in Ref. [ref] , we fit these example correlation functions with different fixed $α$ values, with the functional form [equation] where $q$ is the one-dimensional momentum difference of the pair (usually taken in the longitudinally comoving frame or the pair rest frame), $K_C$ is the Coulomb correction as calculated in Ref. [ref] , $N$ is a normalization parameter and $ϵ$ responsible for accounting for any residual, long-range background from non-femtoscopic effects (such as energy and momentum conservation, flow, or minijets).
Investigating the excitation function of HBT radii for L\'evy-stable sources · Scaling method · 1.00
Cites it as background 1 paper
-
In recent years, many phenomenological investigations have also been published [ref] , related to the Lévy-stable shape of the pion source.
Three-dimensional sizes and shapes of pion emission in heavy-ion collisions · Introduction · 0.95
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.